Question : A wire is in the form of square with side 44 cm. It is bent to form a circle. What is the radius of the circle?
Option 1: 28 cm
Option 2: 21 cm
Option 3: 16 cm
Option 4: 32 cm
Correct Answer: 28 cm
Solution :
Side of square, $a$ = 44 cm
Let $r$ be the radius.
The perimeter of the square = The perimeter of the circle
$4 a$ = $2 \pi r$
⇒ 4 × 44 = 2 × $\frac{22}{7}$ × $r$
⇒ $r$ = 4 × 7 = 28
Hence, the correct answer is 28 cm.
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